lim(1-x平方/2)的1/sinx平方次 x趋向于0

网友回答

=[x →0]lim(1-x²/2)^(1/sinx)
=[x →0]lime^[ln(1-x²/2)^(1/sinx)]
=[x →0]lime^[(1/sinx)*ln(1-x²/2)]
=[x →0]lime^[ln(1-x²/2)/sinx]
=[x →0]lime^[-x/(1-x²/2)/cosx]
=e^[-0/(1-0)/cos0]
=e^-0=1